editing disabled

This MOS, the Happy tridecatonic scale, has its first harmonic entropy minimum at 1/14edo-3/40edo, where 3:2 is +8 generators (Octacot). However, the absolute harmonic entropy minimum is Nautilus (3:2=-6 generators), and that is not complete until 14 tones.


Cents
0/1

0
1/17

70.588

4/67
71.641

3/50
72

2/33
72.727

3/49
73.469

4/65
73.846

5/81
74.074
1/16

75

3/47
76.596

2/31
77.419

3/46
78.261

4/61
78.6885

5/76
78.947

6/91
79.121


1200/(12+pi)
1/15

80


1200/(12+e)

3/44
81.818


1200/(13+phi)

2/29
82.759

3/43
83.721

4/57
84.2105
1/14

85.714

4/55
86.364


1200/(12+sqrt(3))

3/41
87.805


1200/(12+phi)

5/68
88.235


1200/(12+pi/2)
2/27

88.889

5/67
89.552
3/40

90
4/53

90.556
1/13

92.308